Ander Murua

1.8k citations

52 papers · 943 indexed · h-index 19

Impact in

Numerical Analysis top 1%
- Numerical methods for differential equations
- Differential Equations and Numerical Methods
Statistical and Nonlinear Physics top 5%
- Quantum chaos and dynamical systems
- Model Reduction and Neural Networks

Papers in ⓘ

Numerical Analysis 51
- Numerical methods for differential equations 51
- Differential Equations and Numerical Methods 5
Computational Mechanics 23
- Advanced Numerical Methods in Computational Mathematics 20

Co-authors: Fernando Casas (18 shared papers)Sergio Blanes (15 shared papers)J. M. Sanz‐Serna (11 shared papers)Philippe Chartier (7 shared papers)P. Chartier (6 shared papers)Erwan Faou (1 shared paper)Ariadna Farrés (2 shared papers)J. Laskar (2 shared papers)
Journals: Foundations of Computational Mathematics (7 papers)Applied Numerical Mathematics (6 papers)Numerische Mathematik (4 papers)SIAM Journal on Numerical Analysis (3 papers)BIT Numerical Mathematics (3 papers)
Partner nations: Spain France New Zealand

In The Last Decade

Ander Murua

52 papers receiving 868 citations

Peers

Countries citing papers authored by Ander Murua

Since Specialization

Citations

This map shows the geographic impact of Ander Murua's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Ander Murua with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Ander Murua more than expected).

Fields of papers citing papers by Ander Murua

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Ander Murua. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Ander Murua. The network helps show where Ander Murua may publish in the future.

Co-authors

The 19 scholars most cited alongside Ander Murua, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Ander Murua Line = papers co-authored together Ander Murua links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

Showing the 20 most-cited of 52 papers — load more, or switch the sort, to bring in the rest.

#	Work
1	Efficient computation of the Zassenhaus formula Computer Physics Communications ·Fernando Casas, Ander Murua, Mladen Nadinic	2012	71
2	An Algebraic Approach to Invariant Preserving Integators: The Case of Quadratic and Hamiltonian Invariants Numerische Mathematik ·Philippe Chartier, Erwan Faou, Ander Murua	2006	56
3	New families of symplectic splitting methods for numerical integration in dynamical astronomy Applied Numerical Mathematics ·Sergio Blanes, Fernando Casas, Ariadna Farrés, J. Laskar, Joseba Makazaga, Ander Murua	2013	54
4	The Hopf Algebra of Rooted Trees, Free Lie Algebras, and Lie Series Foundations of Computational Mathematics ·Ander Murua	2006	48
5	High precision symplectic integrators for the Solar System Celestial Mechanics and Dynamical Astronomy ·Ariadna Farrés, J. Laskar, Sergio Blanes, Fernando Casas, Joseba Makazaga, Ander Murua	2013	45
6	Splitting and composition methods in the numerical integration of differential equations ArXiv.org ·Sergio Blanes, Fernando Casas, Ander Murua	2008	43
7	An efficient algorithm for computing the Baker–Campbell–Hausdorff series and some of its applications Journal of Mathematical Physics ·Fernando Casas, Ander Murua	2009	42
8	Optimized high-order splitting methods for some classes of parabolic equations Mathematics of Computation ·Sergio Blanes, Fernando Casas, P. Chartier, Ander Murua	2012	38
9	Order conditions for numerical integrators obtained by composing simpler integrators Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences ·Ander Murua, J. M. Sanz‐Serna	1999	38
10	Symplectic splitting operator methods for the time-dependent Schrödinger equation The Journal of Chemical Physics ·Sergio Blanes, Fernando Casas, Ander Murua	2006	36
11	Symplectic Methods Based on Decompositions SIAM Journal on Numerical Analysis ·Adérito Araújo, Ander Murua, J. M. Sanz‐Serna	1997	34
12	Higher-Order Averaging, Formal Series and Numerical Integration I: B-series Foundations of Computational Mathematics ·P. Chartier, Ander Murua, J. M. Sanz‐Serna	2010	30
13	Numerical stroboscopic averaging for ODEs and DAEs Applied Numerical Mathematics ·M. P. Calvo, Ph. Chartier, Ander Murua, J. M. Sanz‐Serna	2011	28
14	Formal series and numerical integrators, part I: Systems of ODEs and symplectic integrators Applied Numerical Mathematics ·Ander Murua	1999	27
15	Preserving first integrals and volume forms of additively split systems IMA Journal of Numerical Analysis ·Philippe Chartier, Ander Murua	2007	23
16	Partitioned half-explicit Runge-Kutta methods for differential-algebraic systems of index 2 Computing ·Ander Murua	1997	22
17	Stroboscopic Averaging for the Nonlinear Schrödinger Equation Foundations of Computational Mathematics ·F. Castella, Ph. Chartier, Florian Méhats, Ander Murua	2015	21
18	On the Linear Stability of Splitting Methods Foundations of Computational Mathematics ·Sergio Blanes, Fernando Casas, Ander Murua	2007	20
19	Multi-revolution composition methods for highly oscillatory differential equations Numerische Mathematik ·Philippe Chartier, Joseba Makazaga, Ander Murua, Gilles Vilmart	2014	18
20	On the Numerical Integration of Ordinary Differential Equations by Processed Methods SIAM Journal on Numerical Analysis ·Sergio Blanes, Fernando Casas, Ander Murua	2004	17

About Ander Murua

Ander Murua is a scholar working on Numerical Analysis, Computational Mechanics, Computational Theory and Mathematics, Electrical and Electronic Engineering and Statistical and Nonlinear Physics, having authored 52 papers that have together received 943 indexed citations. Recurring topics across this work include Numerical methods for differential equations (51 papers), Advanced Numerical Methods in Computational Mathematics (20 papers), Electromagnetic Simulation and Numerical Methods (15 papers), Matrix Theory and Algorithms (12 papers), Modeling and Simulation Systems (6 papers), Quantum chaos and dynamical systems (5 papers), Differential Equations and Numerical Methods (5 papers) and Advanced Topics in Algebra (5 papers). The work is most often cited by research in Numerical Analysis (639 citations), Statistical and Nonlinear Physics (229 citations), Computational Theory and Mathematics (269 citations), Algebra and Number Theory (68 citations) and Computational Mechanics (306 citations). Ander Murua has collaborated with scholars based in Spain, France and New Zealand. Frequent co-authors include Fernando Casas, Sergio Blanes, J. M. Sanz‐Serna, Philippe Chartier, P. Chartier, Erwan Faou, Ariadna Farrés, J. Laskar, Adérito Araújo and R. P. K. Chan. Their work appears in journals such as Foundations of Computational Mathematics, Applied Numerical Mathematics, Numerische Mathematik, SIAM Journal on Numerical Analysis and BIT Numerical Mathematics.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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